Final answer:
As King of Persia, Alexander aimed to integrate Greek and Persian societies and manage a vast empire, but his early death led to its fragmentation.
Step-by-step explanation:
As King of Persia, Alexander faced the challenge of integrating Greek and Persian cultures and managing a vast, diverse empire.
Alexander the Great's ascension to the Persian throne presented new challenges distinct from his military campaigns. After his conquest, Alexander sought to merge Greek and Persian societies by encouraging marriages between his officers and Persian nobility, honoring Persian traditions and customs, and incorporating Persian soldiers into his army. He adopted Persian royal customs and engaged in a symbolic gesture of respect by burying Darius III ceremoniously. These actions helped in maintaining the integrity of the empire while also facilitating the spread of Greek culture across the regions Alexander conquered.
However, managing the administrative complexities and the vastness of the newly acquired territories were considerable hurdles. His approach to governance aimed to fuse Greek and Persian systems to achieve stability and preserve the empire's expanse, but this ambition was left unfulfilled due to his untimely death, leading to the empire's fragmentation as his generals vied for power.